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161290355226 = 2371113241111431
BaseRepresentation
bin1001011000110110100…
…1111000001000011010
3120102022121020222121020
42112031221320020122
510120310312331401
6202032404023310
714436632253540
oct2261551701032
9512277228536
10161290355226
1162448223140
1227313991b36
13122956a8920
147b41043d90
1542dedc4d36
hex258da7821a

161290355226 has 128 divisors (see below), whose sum is σ = 434916421632. Its totient is φ = 38510208000.

The previous prime is 161290355207. The next prime is 161290355227. The reversal of 161290355226 is 622553092161.

It is a happy number.

It is a super-2 number, since 2×1612903552262 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (161290355227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1391731 + ... + 1503161.

It is an arithmetic number, because the mean of its divisors is an integer number (3397784544).

Almost surely, 2161290355226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 161290355226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217458210816).

161290355226 is an abundant number, since it is smaller than the sum of its proper divisors (273626066406).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

161290355226 is a wasteful number, since it uses less digits than its factorization.

161290355226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111708.

The product of its (nonzero) digits is 194400, while the sum is 42.

The spelling of 161290355226 in words is "one hundred sixty-one billion, two hundred ninety million, three hundred fifty-five thousand, two hundred twenty-six".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 39 42 66 77 78 91 143 154 182 231 241 273 286 429 462 482 546 723 858 1001 1446 1687 2002 2651 3003 3133 3374 5061 5302 6006 6266 7953 9399 10122 15906 18557 18798 21931 34463 37114 43862 55671 65793 68926 103389 111342 111431 131586 206778 222862 241241 334293 482482 668586 723723 780017 1225741 1447446 1448603 1560034 2340051 2451482 2897206 3677223 4345809 4680102 7354446 8580187 8691618 10140221 15934633 17160374 20280442 25740561 26854871 30420663 31869266 47803899 51481122 53709742 60841326 80564613 95607798 111542431 161129226 187984097 223084862 295403581 334627293 349113323 375968194 563952291 590807162 669254586 698226646 886210743 1047339969 1127904582 1772421486 2067825067 2094679938 2443793261 3840246553 4135650134 4887586522 6203475201 7331379783 7680493106 11520739659 12406950402 14662759566 23041479318 26881725871 53763451742 80645177613 161290355226